Question

A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of
the pizza box must be 450 cubic inches to fit their standard-sized pizza A worker determined that the equation below could be used to find the
side length, x, of the box needed to reach that volume
212 = 450
Determine which statement is true about the solutions to the equation
A.
The solutions are -15 and 15, but only 15 is a reasonable side length
B.
The solutions are -15 and 15 and both are reasonable side lengths,
C.
The solutions are -30 and 30 and both are reasonable side lengths.
D.
The solutions are 30 and 30 but only 30 is a reasonable side length

Answer 1

Answer:

Option A. The solutions are -15 and 15, but only 15 is a reasonable side length

Step-by-step explanation:

Let

x ----> the length side of the square base in inches

we have

$2x^{2}=450$

Solve for x

Divide by 2 both sides

$x^{2}=450/2$

$x^{2}=225$

take square root both sides

$x=(+/-)\sqrt{225}$

$x=(+/-)15\ in$

therefore

The solutions are -15 and 15, but only 15 is a reasonable side length

Because the side length cannot be a negative number